Integrate the functions`1/(1-tanx)`

Explanation

To integrate the function \( \frac{1}{1 - \tan x} \), we can follow these steps:

### Step 1: Rewrite the Function
We start by rewriting \( \tan x \) in terms of sine and cosine:
\[ \tan x = \frac{\sin x}{\cos x} \]
Thus, the function becomes:
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